Physics Syllabus for JEE (Main)
UNIT 1: Units and Measurements
Units of measurement, System of units, SI units, fundamental and derived units, least count, significant figures, and errors in measurements. Dimensions of physics quantities, dimensional analysis, and its applications.
UNIT 2: Kinematics
The frame of reference, motion in a straight line, speed and velocity, uniform and non-uniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocity-time, position-time graph, relations for uniformly accelerated motion, and relative velocity. Motion in a plane, projectile motion, and uniform circular motion.
UNIT 3: Laws of Motion
Force and inertia, Newton’s first law of motion, momentum, Newton’s second law of motion, impulse, and Newton’s third law of motion. Law of conservation of linear momentum and its applications, equilibrium of concurrent forces. Static and kinetic friction, laws of friction, and rolling friction. Dynamics of uniform circular motion, centripetal force, and its applications: vehicle on a level circular road, vehicle on a banked road.
UNIT 4: Work, Energy, and Power
Work done by a constant force and a variable force, kinetic and potential energies, work-energy theorem, and power. The potential energy of a spring, conservation of mechanical energy, conservative and non-conservative forces, and motion in a vertical circle. Elastic and inelastic collisions in one and two dimensions.
UNIT 5: Rotational Motion
Center of mass of a two-particle system, center of mass of a rigid body. Basic concepts of rotational motion, moment of a force, torque, angular momentum, conservation of angular momentum, and its applications. The moment of inertia, the radius of gyration, values of moments of inertia for simple geometrical objects, parallel and perpendicular axes theorems, and their applications. Equilibrium of rigid bodies, rigid body rotation, and equations of rotational motion; comparison of linear and rotational motions.
UNIT 6: Gravitation
The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Kepler’s law of planetary motion. Gravitational potential energy, gravitational potential. Escape velocity, motion of a satellite, orbital velocity, time period, and energy of a satellite.
UNIT 7: Properties of Solids and Liquids
Elastic behavior, stress-strain relationship, Hooke's Law, Young's modulus, bulk modulus, and modulus of rigidity.
Pressure due to a fluid column, Pascal's law and its applications, effect of gravity on fluid pressure, viscosity, Stoke’s law, terminal velocity, streamline and turbulent flow, critical velocity, Bernoulli's principle and its applications. Surface energy and surface tension, angle of contact, excess of pressure across a
curved surface, application of surface tension: drops, bubbles, and capillary rise. Heat, temperature, thermal expansion, specific heat capacity, calorimetry, change of state, latent heat. Heat transfer: conduction, convection, and radiation.
UNIT 8: Thermodynamics
Thermal equilibrium and the concept of temperature, the zeroth law of thermodynamics, heat, work, and internal energy. The first law of thermodynamics, isothermal and adiabatic processes. The second law of thermodynamics: reversible and irreversible processes.
UNIT 9: Kinetic Theory of Gases
Equation of state of a perfect gas, work done on compressing a gas, kinetic theory of gases: assumptions, the concept of pressure, kinetic interpretation of temperature, RMS speed of gas molecules, degrees of freedom, law of equipartition of energy and applications to specific heat capacities of gases, mean free path, Avogadro's number.
UNIT 10: Oscillations and Waves
Oscillations and periodic motion: time period, frequency, displacement as a function of time, and periodic functions. Simple harmonic motion (S.H.M.) and its equation, phase, oscillations of a spring: restoring force and force constant, energy in S.H.M.: kinetic and potential energies, simple pendulum: derivation of expression for its time period. Wave motion, longitudinal and transverse waves, speed of the travelling wave, displacement relation for a progressive wave, principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, and beats.
UNIT 11: Electrostatics
Electric charges: conservation of charge, Coulomb's law forces between two-point charges, forces between multiple charges, superposition principle, and continuous charge distribution. Electric field: electric field due to a point charge, electric field lines, electric dipole, electric field due to a dipole, torque on a dipole in a uniform electric field. Electric flux, Gauss's law, and its applications to find the field due to an infinitely long uniformly charged straight wire, a uniformly charged infinite plane sheet, and a uniformly charged thin spherical shell. Electric potential and its calculation for a point charge, electric dipole, and system of charges; potential difference; equipotential surfaces; electrical potential energy of a system of two point charges and of an electric dipole in an electrostatic field. Conductors and insulators, dielectrics and electric polarization, capacitors and capacitance, the combination of capacitors in series and parallel, the capacitance of a parallel plate capacitor with and without dielectric medium between the plates, and energy stored in a capacitor.
UNIT 12: Current Electricity
Electric current: drift velocity, mobility, and their relation with electric current; Ohm's law; electrical resistance; I-V characteristics of ohmic and non-ohmic conductors; electrical energy and power; electrical resistivity and conductivity; series and parallel combinations of resistors; temperature dependence of resistance. Internal resistance, potential difference, and EMF of a cell, a combination of cells in series and parallel. Kirchhoff’s laws and their applications, Wheatstone bridge, and meter bridge.
UNIT 13: Magnetic Effects of Current and Magnetism
Biot-Savart law and its application to the current-carrying circular loop, Ampere's law and its applications to infinitely long current-carrying straight wire and solenoid. Force on a moving charge in uniform magnetic and electric fields, force on a current-carrying conductor in a uniform magnetic field, and the force between two parallel current-carrying conductors - Definition of ampere: torque experienced by a current loop in a uniform magnetic field Moving coil galvanometer, its sensitivity, and conversion to ammeter and voltmeter. Current loop as a magnetic dipole and its magnetic dipole moment, bar magnet as an equivalent solenoid, magnetic field lines, magnetic field due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis, torque on a magnetic dipole in a uniform magnetic field, para-, dia-, and ferromagnetic substances with examples, and the effect of temperature on magnetic properties.
UNIT 14: Electromagnetic Induction and Alternating Currents
Electromagnetic induction: Faraday's law, induced emf and current, Lenz’s law, eddy currents, self and mutual inductance. Alternating currents, peak and RMS value of alternating current/voltage, reactance and impedance, LCR series circuit, resonance, power in AC circuits, wattless current, AC generator, and transformer.
UNIT 15: Electromagnetic Waves
Displacement current, electromagnetic waves and their characteristics, transverse nature of electromagnetic waves, electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays), applications of electromagnetic waves.
UNIT 16: Optics
Reflection of light, spherical mirrors, and mirror formula. Refraction of light at plane and spherical surfaces, the thin lens formula and lens maker formula, total internal reflection and its applications, magnification, power of a lens, combination of thin lenses in contact, refraction of light through a prism, microscopes and astronomical telescopes (reflecting and refracting), and their magnifying powers. Wave optics: wavefront and Huygens principle, laws of reflection and refraction using Huygens principle. Interference: Young's double-slit
experiment and expression for fringe width, coherent sources, and sustained interference of light. Diffraction due to a single slit, width of central maximum. Polarization: plane-polarized light, Brewster's law, uses of plane-polarized light, and Polaroid.
UNIT 17: Dual Nature of Matter and Radiation
Dual nature of radiation, Photoelectric effect, Hertz and Lenard's observations, Einstein's photoelectric equation, particle nature of light. Matter waves: wave nature of particle, de Broglie relation.
UNIT 18: Atoms and Nuclei
Alpha-particle scattering experiment, Rutherford's model of the atom, Bohr model, energy levels, hydrogen spectrum. Composition and size of nucleus, atomic masses, mass-energy relation, mass defect, binding energy per nucleon and its variation with mass number, nuclear fission, and fusion.
UNIT 19: Electronic Devices
Semiconductors, semiconductor diodes: I-V characteristics in forward and reverse bias, diode as a rectifier; I-V characteristics of LED, the photodiode, solar cell, Zener diode, and Zener diode as a voltage regulator. Logic gates (OR, AND, NOT, NAND, and NOR).
UNIT 20: Experimental Skills
Familiarity with the basic approach and observations of the experiments and activities:
1. Vernier calipers—their use is to measure the internal and external diameter and depth of a vessel. 2. Screw gauge—its use is to determine the thickness/diameter of a thin sheet/wire. 3. Simple pendulum dissipation of energy by plotting a graph between the square of amplitude and time. 4. Meter scale—the mass of a given object by the principle of moments. 5. Young's modulus of elasticity of the material of a metallic wire. 6. Surface tension of water by capillary rise and effect of detergents 7. Coefficient of viscosity of a given viscous liquid by measuring the terminal velocity of a given spherical body. 8. Speed of sound in air at room temperature using a resonance tube 9. Specific heat capacity of a given (i) solid and (ii) liquid by method of
mixtures. 10. The resistivity of the material of a given wire using a meter bridge. 11. The resistance of a given wire using Ohm's law. 12. Resistance and figure of merit of a galvanometer by half deflection method. 13. The focal length of
(i) Convex mirror
(ii) Concave mirror and
(iii) Convex lens, using the parallax method. 14. The plot of the angle of deviation vs. the angle of incidence for a triangular prism. 15. The refractive index of a glass slab using a travelling microscope. 16. Characteristic curves of a p-n junction diode in forward and reverse bias. 17. Characteristic curves of a Zener diode and finding reverse breakdown voltage. 18. Identification of diode, LED, resistor, and capacitor from a mixed collection of such items
PHYSICS Syllabus for JEE (Advanced)
1. General
General units and dimensions, dimensional analysis, least count, significant figures, methods of Measurement and error analysis for physical quantities pertaining to the following experiments:
Experiments based on using Vernier calipers and screw gauges (micrometers), determination of g using a simple pendulum, Young’s modulus—elasticity of the material Surface tension of water by capillary rise and effect of detergents. Specific heat of a liquid using a calorimeter, focal length of a concave mirror and a convex lens using the u-v method, Speed of sound using a resonance column Verification of Ohm’s law using a voltmeter and ammeter, and specific resistance of the material of a wire using a meter bridge and post office box.
2. Mechanics
Kinematics in one and two dimensions (Cartesian coordinates only), projectiles, uniform circular motion; relative velocity.
Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; kinetic and potential energy; work and power; conservation of linear momentum and mechanical energy.
Systems of particles; center of mass and its motion; impulse; elastic and inelastic collisions. Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; angular momentum; torque; conservation of angular momentum; dynamics of rigid bodies with a fixed axis of rotation; rolling without slipping of rings, cylinders, and spheres; equilibrium of rigid bodies; collision of point masses with rigid bodies. Forced and damped oscillation (in one dimension), resonance. Linear and angular simple harmonic motions.
Hooke’s law, Young’s modulus.
Law of gravitation; gravitational potential and field; Acceleration due to gravity; Kepler’s law, Geostationary orbits Motion of planets and satellites in circular orbits; escape velocity.
Pressure in a fluid; Pascal’s law; Buoyancy, surface energy and surface tension, angle of contact, drops, bubbles, and capillary rise. Viscosity (Poiseuille’s equation excluded), Modulus of rigidity and bulk modulus in mechanics. Stokes's law, terminal velocity, streamline flow, equation of continuity, Bernoulli’s theorem, and its applications. Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns; resonance; beats; speed of sound in gases; Doppler effect (in sound)
3. Thermal Physics
Thermal expansion of solids, liquids, and gases; Calorimetry, latent heat; heat conduction in one dimension; elementary concepts of convection and radiation; Newton’s law of cooling; Ideal gas laws; specific heats (Cv and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases, equivalence of heat and work First law of thermodynamics and its applications (only for ideal gases); the second law of thermodynamics, reversible and irreversible processes, Carnot engine and its efficiency; Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law, Wien’s displacement law, Stefan’s law.
4. Electricity and Magnetism
Coulomb’s law; electric field and potential; electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; electric field lines; Flux of electric field; Gauss’s law and its application in simple cases, such as to find the field due to an infinitely long straight wire, a uniformly charged infinite plane sheet, and a uniformly charged thin spherical shell. Capacitance; parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor.
Electric current; Ohm’s law; series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; heating effect of current.
Biot–Savart’s law and Ampere’s law; magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; force on a moving charge and on a current-carrying wire in a uniform magnetic field.
Magnetic moment of a current loop; effect of a uniform magnetic field on a current loop; moving coil galvanometer, voltmeter, ammeter, and their conversions.
Electromagnetic induction: Faraday’s law, Lenz’s law; self and mutual inductance; RC, LR, LC. and LCR (in series) circuits with d.c. and a.c. sources.
5. Electromagnetic Waves
Electromagnetic waves and their characteristics. Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, x-rays, and gamma rays, including elementary facts about their uses.
6. Optics
Rectilinear propagation of light; reflection and refraction at plane and spherical surfaces; total internal reflection; deviation and dispersion of light by a prism; thin lenses; combinations of mirrors and thin lenses; magnification.
Wave nature of light: Huygens’ principle, interference limited to Young’s double-slit experiment.
Diffraction due to a single slit. Polarization of light, plane-polarized light, Brewster's law, Polaroids.
7. Modern Physics
Atomic nucleus; α, β, and γ radiations; Law of radioactive decay; Decay constant, half-life, and mean life; binding energy and its calculation; fission and fusion processes; energy calculation in these processes.
Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley’s law; de Broglie wavelength of matter waves.
